Cantitate/Preț
Produs

Ramanujan's Lost Notebook: Part III

Autor George E. Andrews, Bruce C. Berndt
en Limba Engleză Paperback – 17 iul 2014
In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge to examine the papers of the late G.N. Watson.  Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony.
This volume is the third of five volumes that the authors plan to write on Ramanujan’s lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988.  The ordinary partition function p(n) is the focus of this third volume. In particular, ranks, cranks, and congruences for p(n) are in the spotlight. Other topics include the Ramanujan tau-function, the Rogers–Ramanujan functions, highly composite numbers, and sums of powers of theta functions.
Review from the second volume:
"Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited."
- MathSciNet
Review from the first volume:
"Andrews a
nd Berndt are to be congratulated on the job they are doing. This is the first step...on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete."
- Gazette of the Australian Mathematical Society
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (5) 64906 lei  6-8 săpt.
  Springer – 29 oct 2010 64906 lei  6-8 săpt.
  Springer – 30 sep 2010 79057 lei  6-8 săpt.
  Springer International Publishing – 26 dec 2018 89906 lei  6-8 săpt.
  Springer – 7 iul 2015 95226 lei  6-8 săpt.
  Springer – 17 iul 2014 95372 lei  6-8 săpt.
Hardback (5) 82856 lei  6-8 săpt.
  Springer – 6 mai 2005 82856 lei  6-8 săpt.
  Springer International Publishing – 18 sep 2018 90435 lei  6-8 săpt.
  Springer – 23 dec 2008 93574 lei  6-8 săpt.
  Springer – 4 iun 2013 95838 lei  6-8 săpt.
  Springer – 11 iun 2012 95901 lei  6-8 săpt.

Preț: 95372 lei

Preț vechi: 116306 lei
-18% Nou

Puncte Express: 1431

Preț estimativ în valută:
18252 19031$ 15169£

Carte tipărită la comandă

Livrare economică 21 martie-04 aprilie

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781489994974
ISBN-10: 1489994971
Pagini: 448
Ilustrații: XII, 436 p.
Dimensiuni: 155 x 235 x 24 mm
Greutate: 0.68 kg
Ediția:2012
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States

Public țintă

Research

Descriere

In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge to examine the papers of the late G.N. Watson.  Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony.
This volume is the third of five volumes that the authors plan to write on Ramanujan’s lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988.  The ordinary partition function p(n) is the focus of this third volume. In particular, ranks, cranks, and congruences for p(n) are in the spotlight. Other topics include the Ramanujan tau-function, the Rogers–Ramanujan functions, highly composite numbers, and sums of powers of theta functions.
Review from the second volume:
"Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited."
- MathSciNet
Review from the first volume:
"Andrews and Berndt are to be congratulated on the job they are doing. This is the first step...on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete."
- Gazette of the Australian Mathematical Society

Cuprins

Preface.- Introduction.- 1. Ranks and Cranks, Part I.- 2. Ranks and Cranks, Part II.- 3. Ranks and Cranks, Part III.- 4. Ramanujan's Unpublished Manuscript on the Partition and Tau Functions.- 5. Theorems about the Partition Function on Pages 189 and 182.- 6. Congruences for Generalized Tau Functions on Page 178.- 7. Ramanujan's Forty Identities for the Rogers-Ramanujan Functions.- 8. Circular Summation.- 9. Highly Composite Numbers.- Scratch Work.- Location Guide.- Provenance.- References.

Notă biografică

George E. Andrews is currently a professor of mathematics at Pennsylvania State University. Bruce C. Berndt is currently a professor of mathematics at the University of Illinois.

Textul de pe ultima copertă

In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge to examine the papers of the late G.N. Watson.  Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony.
This volume is the third of five volumes that the authors plan to write on Ramanujan’s lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988.  The ordinary partition function p(n) is the focus of this third volume. In particular, ranks, cranks, and congruences for p(n) are in the spotlight. Other topics include the Ramanujan tau-function, the Rogers–Ramanujan functions, highly composite numbers, and sums of powers of theta functions.
Review from the second volume:
"Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited."
- MathSciNet
Review from the first volume:
"Andrews a
nd Berndt are to be congratulated on the job they are doing. This is the first step...on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete."
- Gazette of the Australian Mathematical Society

Caracteristici

Third volume of a series of five volumes including some of Ramanujan's deepest work in the last year of his life
Contains material of which mathematicians currently lack a complete understanding
Focuses on the ordinary partition function p(n), including ranks, cranks, and congruences for p(n)
Includes supplementary material: sn.pub/extras

Recenzii

From the reviews: “This volume contains 16 chapters comprising 314 entries. The material is arranged thematically with the main topics being some of Ramanujan’s favorites q series theta functions … . the authors treatment is extremely thorough. Each chapter contains an introduction with appropriate background. References to all other known proofs of the entries are provided. … Fans of Ramanujan’s mathematics are sure to be delighted by this book. … Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come.” (Jeremy Lovejoy, Mathematical Reviews, Issue 2010 f)